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Finding the Fourth Proportional to 2,811, 3,879.18 and 1,569

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Solution

The fourth proportional to 2,811, 3,879.18 and 1,569 is: 2,165.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,811 : 3,879.18 = 1,569 : x
  2. Step 2: Convert to fraction form
    2,811/3,879.18 = 1,569/x
  3. Step 3: Cross multiply
    2,811x = 3,879.18 × 1,569
  4. Step 4: Simplify right side
    2,811x = 6,086,433.42
  5. Step 5: Solve for x
    x = 6,086,433.42/2,811
  6. Step 6: Final answer
    x = 2,165.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.